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Finding the Fourth Proportional to 1,298.38, 1,947.72 and 374.09

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Solution

The fourth proportional to 1,298.38, 1,947.72 and 374.09 is: 561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.38 : 1,947.72 = 374.09 : x
  2. Step 2: Convert to fraction form
    1,298.38/1,947.72 = 374.09/x
  3. Step 3: Cross multiply
    1,298.38x = 1,947.72 × 374.09
  4. Step 4: Simplify right side
    1,298.38x = 728,617.30
  5. Step 5: Solve for x
    x = 728,617.30/1,298.38
  6. Step 6: Final answer
    x = 561.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.